Question

the numerator of a fraction is 4 less than denominator.if the numerator is decreased by 2 and denominator is increased by 1 then denominator is eight times numerator.find fraction

Answer 1

x+1 = 8x-48
7x = 49
x=7
so the fraction is 3/7

Answer 2

Given :

• The numerator of a fraction is 4 less than denominator.if the numerator is decreased by 2 and denominator is increased by 1 then denominator is eight times numerator.

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Find :

• The fractional form.

Solution :

• Let "x/y" be fractional form.

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→ x = y - 4

→ x - y = - 4 -----(1)

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→ 8(x - 2) = y + 1

→ 8x - 16 = y + 1

→ 8x - y = 17 -----(2)

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Subtract the equations:

→ 8x - y = 17

→ -7x = -21

→ x = 21/7 = 3

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Adding "x = 3" in equation (1):

→ 3 - y = - 4

→ y = 3 + 4 = 7

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Therefore ,

• x = 3
• y = 7

Fractional form = (3/7).